“The Bank of Canada stopped
identifying replacement notes with a specialidentification in 1996
and has adopted a procedure commonly used among othercentral banks.
Notes are now taken from regular production and used asreplacements to
replace notes found during the examination process that didnot meet the
quality standards. This procedure is less time consuming andmore practical for
both the Bank and its printers. They enter circulationthrough the normal
distribution process.”

Before you start reading:Make
sure to allot your self a good section of time, grab some water, and take a
deep breath. This may seem
boring and technical, but if you are into replacements, then you must continue.
This will involve modular math, logic built on logic,
logic ruling out impossibilities, determining contradictory suppositions, and
other dendrite forming exercises. Feed your brain, read this.You will see exactly how relevant this
is, and how complex it can be. I am sorry, but you have reached the point of no
return. JWithout
further ado, I present my research, current up to this point in time. BEGIN!

Solving the CBN Journey $20 mystery:

Working
backwards from the ranges reported from Gilles Pomerleau, I tried to construct
the position numbers of the entire CBN Journey $20 sheet.In my research with notes, I often discovered
finding notes from many different positions, often contained in a small number
of bricks.They would all be of close
proximity, so I had the opportunity to compare serial numbers to see how they
would line up.From the variety of replacement
notes that I got, all belonging to the same sheet, I was able to determine that
the skip numbering pattern was in fact 6000.That is, there would be 6000 notes printed in position A1 before notes
6000-11999 would be printed in A2.

Below is a
table that is based on the conventional replacement range, starting at
9, 720,000.The highlighted cells
represent positions that were identified from my EZJ replacement findings listed below.From the EZJ replacements, we know the serial
numbers are skip-6000, thus making the full range
of the ream encompass 270,000 notes.

I also
had a finding of EZI replacements, and they confirm the skip-6000
serial numbering pattern.The also map
properly onto the table above, containing the EZJ replacement sample.Note that there
are two common locations, G2 and F2 between the two prefixes. That means that
the notes are of the same relative proximity on a sheet, thus the two prefixes
(in this number range) can be combined into one table.9960xxx 27/27 = I1

At this point we can draw a consolidated table combining both EZI
and EZJ replacements into one sheet layout.Yellow is EZJ, and orange is EZI.F2 and G2 are green, because they are represented by both prefixes.

1

2

3

4

5

A

9720000

9726000

9732000

9738000

9744000

B

9750000

9756000

9762000

9768000

9774000

C

9780000

9786000

9792000

9798000

9804000

D

9810000

9816000

9822000

9828000

9834000

E

9840000

9846000

9852000

9858000

9864000

F

9870000

9876000

9882000

9888000

9894000

G

9900000

9906000

9912000

9918000

9924000

H

9930000

9936000

9942000

9948000

9954000

I

9960000

9966000

9972000

9978000

9984000

What is the replacement range then?

One other important thing to note is this: from one sheet of EZI replacements, there is a number range spanning from A3 to E5, which is 6000* 43 =
258,000 notes.The ream itself is 270,000
notes, so this makes perfect sense. The ream would be the first note of A1 to
the last note of I5.The published
ranges of 270,000 are correct. In fact, it cannot be otherwise, unless not all
6000 sheets were set aside for replacements.If that is the case, then the ranges get
trickier. I will discuss that later. I will return to CBN $20 replacement ranges later.

Problem posed:
Can we test this
layout to a known error note? EYL 8634987 12/54
is a known error, with a butterfly fold at the bottom left (facing the front);
therefore when face down, in the bottom right of the sheet.This implies that it should be in position
I5.This validation will help prove that
the method used to determine the replacement note positions (and
subsequently, the replacement ranges themselves)
are correct.

Consider
position A1.If we subtract 270,000 from
it, we will arrive at another position A1, but one that is part of a prior ream
of notes.Since we are hypothesizing
that notes are 6000 skip, then a ream would encompass 270,000 notes.Consider a ream to be a multi-brick stack
that is 6 bricks high, with 45 bricks making up the total family.Therefore, if we subtract any multiple of
270,000 from A1, then we should end up with another A1.Similarly, if we subtract 270,000 from
position E4, we would end up back at E4 for example.This should work for any positions.

Let
9720000 = A1

If I
subtract 270,000 * 4 I get 8,640,000 as a position A1. If I subtract 6000 from 8,640,000 to bump it
back one more position (to I5), then my starting point for I5 is
8,634,000.The butterfly error EYL
8634987 falls directly into the hypothesized position based on the serial
number.I went ahead with this method,
but soon found out that many numbers were not working properly. The logic I had
been using had a flaw of some sort.Perhaps the EZL error matching up was purely coincidental?

To
figure this problem of notes not matching to my partially built sheet layout, I
took another sample of notes.They were
EZD non-replacement notes I had recorded from prior bricks. The first one I tried
was EZD 1950886
53/18, which had to be D4, since it was mapped directly onto a prior EZJ replacement with the same position
number.From there when I counted back
by 6000 to A1, and then reduced the A1 position to its lowest term by
subtracting multiples of 270,000 from it (modulo 270,000), the A1 position did
not comply with a range that should be in that position is reams were 270,000.I was anticipating on having an A1 value of
1890000, but instead it was actually 1842000 when I skip counted back by
6000 from position D4 to A1 for confirmation. It confirmed that I was wrong. Thus, there was a
mystery to solve in regards to skip numbering once again.Perhaps there was a change, or some notes
missing.What I found out was very
interesting.

After
long and hard research, I made a discovery that these EZD notes I was testing
were actually skip numbered by 8000.I was able to determine this from the large
number of EZD notes that I had recorded from a few very mixed bricks.The samplings that are bold and highlighted
yellow are where I found notes with the same FP/BP combination that were in a
range of over 6000 notes (but under 8000).The
proximity of other FP/BP combinations define this ream
to be skip-8000.This sample was
necessary to show that CBN $20s are not all skip-6000, but some are skip
8000.Through further research, I found
out almost all are skip-8000.

Here is a table of the notes that I recorded and the
ranges found within the same position: Note: 1801xxx will be written as 1801.

Recorded serial numbers

FP/BP

Implied BlockRange

(Six bricks of one position)

1801-1806

52/19

1800000-1807999

1810-1815

36/31

1808000-1815999

1819-1823

42/28

1816000-1823999

1829-1831

33/47

1824000-1831999

1839-1839

45/45

1832000-1839999

1846-1847

47/33

1840000-1847999

1848-1855

28/42

1848000-1855999

1856-1862

31/36

1856000-1863999

1864-1871

19/52

1864000-1871999

1877-1878

50/16

1872000-1879999

1880-1887

10/14

1880000-1887999

1892-1893

13/22

1888000-1895999

1903-1903

17/23

1896000-1903999

1908-1908

40/40

1904000-1911999

1919-1919

23/17

1912000-1919999

1920-1927

22/13

1920000-1927999

1935-1935

14/10

1928000-1935999

1936-1943

16/50

1936000-1943999

1944-1950

53/18

1944000-1951999

1957-1959

30/41

1952000-1959999

1964-1964

35/49

1960000-1967999

1970-1974

34/44

1968000-1975999

1976-1976

24/24

1976000-1983999

1984-1991

44/34

1984000-1991999

1992-1999

49/35

1992000-1999999

None

??/??

2000000-2079999

2008-2014

18/53

2008000-2015999

2021-2021

51/32

2016000-2023999

2024-2029

15/37

2024000-2031999

2037-2038

29/21

2032000-2039999

2043-2047

20/39

2040000-2047999

2048-2054

26/26

2048000-2055999

2059-2063

39/20

2056000-2063999

2070-2070

21/29

2064000-2071999

None

??/??

2072000-2079999

2080-2086

32/51

2080000-2087999

2095-2095

54/12

2088000-2095999

2101-2101

43/38

2096000-2103999

2107-2109

25/46

2104000-2111999

2114-2119

48/11

2112000-2119999

None

??/??

2120000-2127999

None

??/??

2128000-2135999

2136-2139

46/25

2136000-2143999

None

??/??

2144000-2151999

2152-2159

12/54

2152000-2159999

After many
hours of research, and by carefully placing the information in the correct
pigeon hole according to the data collected, I was able to develop a near
complete table of FP/BP combinations, as seen below:

1

2

3

4

5

A

52/19

36/31

42/28

33/47

45/45

B

47/33

28/42

31/36

19/52

50/16

C

10/14

13/22

17/23

40/40

23/17

D

22/13

14/10

16/50

53/18

30/41

E

35/49

34/44

24/24

44/34

49/35

F

41/30

18/53

51/32

15/37

29/21

G

20/39

26/26

39/20

21/29

??/??

H

32/51

54/12

43/38

25/46

48/11

I

27/27

??/??

46/25

??/??

12/54

I was also able to map EZJ 9870958 41/30 to F1,
and EZI 9960xxx 27/27 to I1, because of the correctness of the note mapping of
the others.If the others would not have
worked, this would not have worked.So,
at this point, F1 and I1 are also mapped.This is shown above in orange.At
this point, we can see that there are only 3 positions remaining.

Conclusions thus
far:

CBN $20s
are 45/on

Notes
from 9.72M to 9.99M appear to be skip-6000.Therefore, in this sections a ream is 270,000
notes.

Notes
below that serial number range are skip-8000.Therefore, in this section a ream is 360,000 notes.

Notes
above 9.99M have an unknown skip pattern, if they exist at all. Some have been
found.

We can
ascertain that CBN $20 replacements are full sheet replacements.All evidence that I am aware of at this time
plus my findings point to this likelihood.

How on
earth did the butterfly error correspond to the current position when we were
counting down by 6000?

It was
the fourth ream down, and 4 * 6000 is 24,000.24,000 is attainable by adding groups of 8000
also.The reason the crossover is
because the Least Common Multiple of 6000 and 8000 is 24,000.It was just a coincidence.

Continuing to
finish the matrix:

I had
four bricks of EZM that were in the high 9M range.They were skipped by 8000, unlike the replacement
ranges that were skipped by 6000. From getting four bricks of them, I was
pretty sure that they were not replacements. I
found it very interesting that they were skip-8000.Perhaps that is some sort of implicit way to
tell with CBN $20s in the 9M range are replacements?That is something we may not know for sure.
But from it, I managed to map out the remaining positions.

EZM
9687xxx 27/27:This note checks out
perfectly to the EZI and EZJ position of this particular FP/BP combination.

EZM
9695xxx 11/48:When in skip-8000, this
falls perfectly into I2.

EZM
9639xxx 37/15:When in skip-8000, this
falls perfectly into G5.

This
leaves only one position left: I4.

There is
only one FP/BP combination that has not yet been employed. By process of
elimination, the missing FP/BP is 38/43, in I4. From this, we can put
together the Standard Matrix for CBN $20s.It is seen below.

The CBN $20 Standard Matrix

1

2

3

4

5

A

52/19

36/31

42/28

33/47

45/45

B

47/33

28/42

31/36

19/52

50/16

C

10/14

13/22

17/23

40/40

23/17

D

22/13

14/10

16/50

53/18

30/41

E

35/49

34/44

24/24

44/34

49/35

F

41/30

18/53

51/32

15/37

29/21

G

20/39

26/26

39/20

21/29

37/15

H

32/51

54/12

43/38

25/46

48/11

I

27/27

11/48

46/25

38/43

12/54

Conclusions about
printing:

With certainty, we know that replacements that are skip-6000
are from a ream of 270,000.

With certainty, ANY other range of notes that are skip-8000 must be
from a ream of 360,000.

The ream size is dependant on the skip-numbering, since the 45/on
format is used continuously.

From this matrix, we
can easily find out the exact position of a single banknote within a ream.

How this applies to Replacement Notes:

Now, with this matrix, let us analyze the sample:

Information reported to the Canadian Paper Money Forum on January 10th, 2007:

From the replacement notes found in this group of 4 EZS bricks, we have only 4
unique position numbers.The table below
will show where the replacement notes came
from, and what the full ream would be.Neighboring “Super-Brick” packages (groups of four bricks) likely would
have had more EZR replacements.

1

2

3

4

5

A

9720000-9725999

52/19

9726000-9731999

36/31

9732000-9737999

42/28

9738000-9743999

33/47

9744000-9749999

45/45

B

9750000-9755999

47/33

9756000-9761999

28/42

9762000-9767999

31/36

97680000-9773999

19/52

9774000-9779999

EZR 9774324

EZR 9774325

50/16

C

9780000-9785999

10/14

9786000-9791999

13/22

9792000-9797999

17/23

9798000-9803999

EZR 9798324

EZR 9798325

EZR 9798364

40/40

9804000-9809999

23/17

D

9810000-9815999

22/13

9816000-9821999

14/10

9822000-9827999

16/50

9828000-9833999

53/18

9834000-9839999

30/41

E

9840000-9845999

35/49

9846000-9851999

34/44

9852000-9857999

24/24

9858000-9863999

44/34

9864000-9869999

49/35

F

9870000-9875999

41/30

9876000-9881999

EZR 9876364

18/53

9882000-9887999

51/32

9888000-9893999

15/37

9894000-9899999

29/21

G

9900000-9905999

20/39

9906000-9911999

9926/26

9912000-9917999

39/20

9918000-9923999

21/29

9924000-9929999

37/15

H

9930000-9935999

EZR 9930364

32/51

9936000-9941999

54/12

9942000-9947999

43/38

9948000-9953999

25/46

9954000-9959999

48/11

I

9960000-9965999

27/27

9966000-9971999

11/48

9972000-9977999

46/25

9978000-9983999

38/43

9984000-9989999

12/54

From this table, we know with certainty that the replacement range MUST include the notes fall into the other positions of the sheet
as well.That is, there is anreplacement note that
ends with 364, 325, and 324 in every position.The lowest notes from this combination of three replacement sheets found would be 9720324, 324, 364, all from position
A1, with the FP/BP of 52/19.The highest
notes from this trio of sheets would be 9984324, 325, 364, all from position
I5.

From a single replacement sheet, we can see that the range spans between 9720324 to 9984324.It is impossible for a sheet replacement to contain a spread of any
less, provided that the whole ream is set aside for replacement notes.If the whole ream is set
aside for replacements, then every serial
number from 9.72M to 9.9M (less one) is anreplacement note.

Question:

Is it possible to have a replacement range that is only 11250 consecutive notes?(Note: CBN $20s are full sheet replacements)

No.The only way for this
to be possible is if:

a)The skip numbering was such that there were a total of 11250 notes
in the entire ream (this would mean notes are skip-250).

b)The notes are printed skip-11250, and one position of 11250 notes
in height (out of the 45 positions) was removed and set aside for replacements.

The first possibility fails because we know notes are skip-6000 in
the 9.72-9.99M replacement range, and not skip-250 which would be needed in order for
the first possibility to be valid.

The second possibility is disproved by the fact that replacements are found in full sheets.They
are not a consecutive run of notes all coming from one position.We know this because of the varying FP/BP
combinations which do in fact match up to the notes that are neighboring when
they are removed from the brick.Also,
the fact that same sheet cousin notes are often found (having the same last
three digits).

Is it possible to have 11250 total
notes as replacements? YES.

Suppose that the bottom 250 sheets have been removed (after being
serial numbered) for replacement purposes.That
means, notes that end in 0000-0249 would be the replacement range for position A1. That is a range of 250. In A1,
notes 0250-5999 would be regular issue.A2 would follow the same pattern, since it is a sheet we are
removing.In A2, 6000-6249 arereplacements, and then
6250-11999 are regular issue.

If the case is that a
full ream of notes is NOT used as replacement notes, the replacement
ranges must be as follows. There is no other possibility other than this:

(Using 9.72-9989999 as the basis for the example)

Position on Sheet

SerialNumberRanges

Replacement or Non-replacement
(Regular issue)

A1

9720000-9720249

Replacement

A1

9720250-9725999

Non-Replacement (Regular
issue)

A2

9726000-9726249

Replacement

A2

9726250-9731999

Non-Replacement (Regular
issue)

A3

9732000-9732249

Replacement

A3

9732250-9737999

Non-Replacement (Regular
issue)

A4

9738000-9738249

Replacement

A4

9738250-9743999

Non-Replacement (Regular
issue)

A5

9744000-9744249

Replacement

A5

9744250-9749999

Non-Replacement (Regular
issue)

B1

9750000-9750249

Replacement

B1

9750250-9755999

Non-Replacement (Regular
issue)

B2

9756000-9756249

Replacement

B2

9756250-9761999

Non-Replacement (Regular
issue)

B3

9762000-9762249

Replacement

B3

9762250-9767999

Non-Replacement (Regular
issue)

B4

9768000-9768249

Replacement

B4

9768250-9773999

Non-Replacement (Regular
issue)

B5

9774000-9774249

Replacement

B5

9774250-9779999

Non-Replacement (Regular
issue)

C1

9780000-9780249

Replacement

C1

9780250-9785999

Non-Replacement (Regular
issue)

C2

9786000-9786249

Replacement

C2

9786250-9791999

Non-Replacement (Regular
issue)

C3

9792000-9792249

Replacement

C3

9792250-9797999

Non-Replacement (Regular
issue)

C4

9798000-9798249

Replacement

C4

9798250-9803999

Non-Replacement (Regular
issue)

C5

9804000-9804249

Replacement

C5

9804250-9809999

Non-Replacement (Regular
issue)

D1

9810000-9810249

Replacement

D1

9810250-9815999

Non-Replacement (Regular
issue)

D2

9816000-9816249

Replacement

D2

9816250-9821999

Non-Replacement (Regular
issue)

D3

9822000-9822249

Replacement

D3

9822250-9827999

Non-Replacement (Regular
issue)

D4

9828000-9828249

Replacement

D4

9828250-9833999

Non-Replacement (Regular
issue)

D5

9834000-9834249

Replacement

D5

9834250-9839999

Non-Replacement (Regular
issue)

E1

9840000-9840249

Replacement

E1

9840250-9845999

Non-Replacement (Regular
issue)

E2

9846000-9846249

Replacement

E2

9846250-9851999

Non-Replacement (Regular
issue)

E3

9852000-9852249

Replacement

E3

9852250-9857999

Non-Replacement (Regular
issue)

E4

9858000-9858249

Replacement

E4

9858250-9863999

Non-Replacement (Regular
issue)

E5

9864000-9864249

Replacement

E5

9864250-9869999

Non-Replacement (Regular
issue)

F1

9870000-9870249

Replacement

F1

9870250-9875999

Non-Replacement (Regular
issue)

F2

9876000-9876249

Replacement

F2

9876250-9881999

Non-Replacement (Regular
issue)

F3

9882000-9882249

Replacement

F3

9882250-9887999

Non-Replacement (Regular
issue)

F4

9888000-9888249

Replacement

F4

9888250-9893999

Non-Replacement (Regular
issue)

F5

9894000-9894249

Replacement

F5

9894250-9899999

Non-Replacement (Regular
issue)

G1

9900000-9900249

Replacement

G1

9900250-9905999

Non-Replacement (Regular
issue)

G2

9906000-9906249

Replacement

G2

9906250-9911999

Non-Replacement (Regular
issue)

G3

9912000-9912249

Replacement

G3

9912250-9917999

Non-Replacement (Regular
issue)

G4

9918000-9918249

Replacement

G4

9918250-9923999

Non-Replacement (Regular
issue)

G5

9924000-9924249

Replacement

G5

9924250-9929999

Non-Replacement (Regular
issue)

H1

9930000-9930249

Replacement

H1

9930250-9935999

Non-Replacement (Regular
issue)

H2

9936000-9936249

Replacement

H2

9936250-9941999

Non-Replacement (Regular
issue)

H3

9942000-9942249

Replacement

H3

9942250-9947999

Non-Replacement (Regular
issue)

H4

9948000-9948249

Replacement

H4

9948250-9953999

Non-Replacement (Regular
issue)

H5

9954000-9954249

Replacement

H5

9954250-9959999

Non-Replacement (Regular
issue)

I1

9960000-9960249

Replacement

I1

9960250-9965999

Non-Replacement (Regular
issue)

I2

9966000-9966249

Replacement

I2

9966250-9971999

Non-Replacement (Regular
issue)

I3

9972000-9972249

Replacement

I3

9972250-9977999

Non-Replacement (Regular
issue)

I4

9978000-9978249

Replacement

I4

9978250-9983999

Non-Replacement (Regular
issue)

I5

9984000-9984249

Replacement

I5

9984250-9989999

Non-Replacement (Regular
issue)

From the evidence that I have gathered from other CBN replacement prefixes,
it is unlikely that the above case is what is happening. Thank goodness,
otherwise that would make replacement notes possibly too much to handle.I have found EZD that, per position, are near
the end of the 6000, in the middle of the 6000 and even near the start of the
6000.I have witnessed this in other
prefixes as well.If the above case is
a possibility, I would expect the CBN to remove a group of 1000 sheets, or some
other round number, thus making the interlaced replacement ranges all 1000,
totally 45,000.This is just my opinion
of how they might do it, if this was the case.

Conclusion:

It is most likely and logical that the replacements are set aside
per full ream.The evidence with EZD and
other prefixes prove this. It makes no sense for the CBN to set aside a portion
of a ream for replacements, because then they would have to compensate for
missing notes from that ream by robbing notes from another ream, thus causing a
potentially never ending cycle.By
finding replacement notes that fluctuate throughout the entire section of 6000
notes per position, we know that the replacements are not restricted to only a
small section of the 6000 sheets (such as the bottom 250).Because of this fact, this table with the
many small replacement ranges interlaced within non-replacement notes, would in
all likelihood be a non-possibility.

The only remaining
logical possibility is to have replacements set aside in full reams.That is, if this is the case, then replacement
ranges MUST be either 270,000 or 360,000, depending on whether they are skip-6000
or skip-8000 respectively.

On or about December 22nd,
2006, I was lucky enough to search 12 bricks of EZN $20s; 3 full
packages of four bricks each. Of all 12 bricks, I found only three with replacements.
They were as follows:

EZN 2000201-200 EZL 8652977ReplacementEZL8660601-600 TWO Replacements
EZN1968219 and into the EZN again
Jumping around in the SAME bundle,
EZN2159871 EZL 8796617-16 TWO Replacements
EZN 2031999-8 EZL 8868986 Replacement
EZL 8876991 Replacement
EZN 2064xxx and on....
Too much of a hurry to record the FP/BP of this bundle, because there was a lot
of jumping around, and not very much time. This was ONE bundle by the way.

The first thing to figure out with these EZL replacements is the
size of the ream.By applying the
Standard Matrix to the replacements, I know that EZL 8644957 must be two
positions away from EZL 8660957.There
is also a numerical difference between the serial numbers of 16,000.This means that these EZL replacements are
skip-8000.Because they are skip-8000,
which means that the ream is 360,000 notes large.Other notes confirmed this statement.The find indicated that these were full sheet
replacements, which is normal for CBN $20s.In other words, there are 43 other replacement notes that all end in
957, each one representing a different position of the sheet.

The first bundle had many jumps within it.The replacement notes found were not
specifically replacing notes removed in the exact spot from what I could
tell.It is likely that they were inserted
in those “common” positions after other notes were removed, to compensate for
the missing notes – much like the older style CBN $5s.However, in the next two bundles that had
information, it was clear that the EZL replacements were replacing a certain
identifiable note.This was important
because we could determine that these EZL replacements had common FP/BP
combinations with their surrounding non-replacement EZN notes.From that, we can accurately assume that
they were full sheet replacements, just like the other CBN $20 replacements.

Getting back to the first bundle, we can work backwards from the
Standard Matrix to figure out the position numbers of the replacements and the
notes surrounding them.Keep in mind
that often times within a CBN bundle of $20s, there are different runs of
notes, and sometimes even singles.The
construction of the brick seems to be quite random at times.Let us examine the notes from the first
bundle:

Note:

The EZN are all from the 6th ream of the prefix, with 1800000
being the first note of A1.

The EZL are from the 24th ream of the prefix, 8640000
being the first note of A1.

EZN 2000201 is from the 26th position of its
sheet.From the Standard Matrix, we know
then that EZN 2000201 is 41/30.

EZL 8652977 is from the 2nd
position of its sheet.From the Standard
Matrix, we know then that EZL 8652977 is
36/31.

The fact that the EZL FP/BP
differs from the notes on either side is irrelevant in this case, because
we can see that it is found amongst a factory shuffled position
point.Again, many times the CBN
has sent bricks out that have been pieced together with one or more single
notes.How they select notes to be
put into bundles is not like any other Journey note denomination I have
witnessed before, with patterns resembling a shuffled deck of cards at
times.

EZL 8660601-600 are from the 3rd
position of their sheets.From the
Standard Matrix, we know then that EZL
86660601-600 are 42/28.

EZN 1968219 is from the 22nd position of its
sheet.From the Standard Matrix, we know
then that EZN 1968219 is 34/44.

EZN 2159871 is from the 45th position of its
sheet.From the Standard Matrix, we know
then that EZN 2159871 is 12/54.

EZL 8796617-616 are from the 20th
position of their sheets.From the
Standard Matrix, we know then that EZL
8796617-616 are 30/41.

EZN 2031999-998 are from the 29th position of their
sheets.From the Standard Matrix, we
know then that EZN 2031999-998 are 15/37.

EZL 8868986 is from the 29th
position of its sheet.From the Standard
Matrix, we know then that EZL 8868986
also is 15/37.

EZL 8876991 is from the 30th
position of its sheet.From the Standard
Matrix, we know then that EZL 8876991 is
29/21.

EZN 2064xxx and downward (to 2064000) are from the 34th
position of their sheets.From
the Standard Matrix, we know then that these notes are 21/29.

Now, combining these precise numbers with the other EZL replacements
found in the other two bundles with the FP/BP combinations of 52/19 and 42/28,
and we can draw out a new matrix, highlighting the positions that EZL replacements
were found in.I will spare the detail,
and provide a much simpler table than the EZR one designed earlier.The position numbers that are bolded are the
positions in which EZL replacements were found:

1

2

3

4

5

A

52/19

36/31

42/28

33/47

45/45

B

47/33

28/42

31/36

19/52

50/16

C

10/14

13/22

17/23

40/40

23/17

D

22/13

14/10

16/50

53/18

30/41

E

35/49

34/44

24/24

44/34

49/35

F

41/30

18/53

51/32

15/37

29/21

G

20/39

26/26

39/20

21/29

37/15

H

32/51

54/12

43/38

25/46

48/11

I

27/27

11/48

46/25

38/43

12/54

For the same reasons described earlier, any range less than the
full ream is impossible, excluding the possibility of the 45 small interlaced replacement
ranges. If these EZL were single note replacements, which CBN $20s have shown
not to be over and over, then they would have likely come from a source with
serial numbers in much closer proximity.The second and third relevant bundles in the EZL replacement finding
point to the use of full sheet replacements.Had I found more bundles of EZN that crossed the same serial number
range (relative position out of 6000), then they too would have had echoing
finds.The problem is that it is
difficult for many people to access $20 bricks to discover this
information.Thus many of the echoing replacement
finds (same finds but from other sheet positions, or other finds within the
ream) are not found.That should not
mean that the replacement range is pared down though to a smaller range, it
just means that less representations of the sheet were found.

If the EZL replacements were sheet replacements of an amount that
was less than the full ream, then we
would have to develop another large table, interlacing the replacement ranges
within the larger non-replacement ranges, for each position.Since this is a possibility that has not been
logically ruled out completely, I will consider it with these EZL skip-8000 replacements.These replacements were confined to a range
of the 4601st note to the 5000th note (ending in
4600-4999) of the 8000 per position.This needs to be compared with other finds. If ALL other finds fall
within a tiny range like this, then yes by all means a new 90 line table must
be drawn to accurately show the serial numbers of each position that are not replacements.Based on the other prefixes I would expect
the replacements to be full ream, and thus be a range going from EZL 8640000 –
89999999, or 360,000 notes.There is no
possible way, however, for these replacements to have a range exceeding 8000
consecutive notes, unless the range is in fact the full ream.Anything below 8000 and we are talking about
a large table with 45 sub-ranges.If the
range(s) were 8000 notes exactly, then that would likely imply single note
replacements from one or more specific bricks.Since CBN uses full sheet replacements we can rule out the prior
statement.

The cautionary perspective:

1. EZL 9.72-9.99M replacements have been found, and so have these
8.64-9M EZL replacements.Can we assume
that all notes in between are replacements? NO!There are two full reams in between these two found ranges.We cannot make that assumption.

2. EZL 8.644 and 8.868 replacements have been found.Can we assume that all notes in between are replacements?According to my research regarding FP/BP
combinations, skip numbering patterns, and sheet size, then we can answer this
question with a “yes”, with a very high degree of certainty.Yes to the rest of the ream being replacements
as well.The FP/BP combination placement
and skip numbering pattern show us that it is a pure contradiction to assume
that we can determine the replacement range by taking x amount of consecutive
notes on either side of a discovered replacement note when dealing with full
sheet replacements.That is, just a few replacement
notes can DEFINE the whole range if they
come from the same ream (excluding the possibility of the 45 small replacement
ranges interlaced within non-replacements).I use bold and capitalization as emphasis for the word “Define” because
it is separate from “confirmation”.A
range may be defined through the use of the Standard Matrix, but it takes
multiple findings of notes from that ream in order for it to be officially
confirmed as per protocol. The important thing to remember here is now we can
pinpoint the position of a note within a prefix, a ream, and a brick, thus
allowing us to define replacement ranges with much more ease and accuracy.

Final Conclusion:

The logic and data point to full ream replacements, just as they
are with the BABN $5s.That is, by using
the Standard Matrix, we can pinpoint the exact position of any note, replacement
or not, and determine from that the exact replacement range with
certainty.

If skip-6000, then the ream
is 270,000 notes

If skip-8000, then the ream
is 360,000 notes

Replacement notes (for CBN
$20s) are inserted in full sheets (45/on)

Evidence points to replacement
notes being full reams

Ranges of 11250, 22500, or
even 45000 are physically impossible based on how CBN prints the notes.

As you
can see from the pure necessity of details, it is imperative that the
information gets sent to the proper collaborators.At this point I would like to thank all those
that came before me, for their leadership and support, and for their confidence
in me in this endeavor.I would also
like to thank those who came after me, for asking the questions that needed to
be answered.I hope this paper has
raised awareness on this topic.